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Atlas › Integer Profiles › Node 43,708,790

43,708,790

2 × 5 × 67 × 89 × 733
Deficient Even Composite

43,708,790 factors as 2 × 5 × 67 × 89 × 733. Its 32 positive divisors give a proper-divisor sum of 37,148,650, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 89 × 733
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 80,857,440
Proper Divisor Sum 37,148,650
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #43708787 ← → #43708799

Radix Representation

Decimal 43708790
Binary 10100110101111000101110110 (26 bits)
Octal 0o246570566
Hexadecimal 0x29AF176

Divisor Catalog (32)

1 2 5 10 67 89 134 178 335 445 670 733 890 1,466 3,665 5,963 7,330 11,926 29,815 49,111 59,630 65,237 98,222 130,474 245,555 326,185 491,110 652,370 4,370,879 8,741,758 21,854,395 43,708,790

Collatz Trajectory (196 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

43,708,790 21,854,395 65,563,186 32,781,593 98,344,780 49,172,390 24,586,195 73,758,586 36,879,293 110,637,880 55,318,940 27,659,470 13,829,735 41,489,206 20,744,603 62,233,810 31,116,905 93,350,716 46,675,358 23,337,679 70,013,038 35,006,519 105,019,558 52,509,779 157,529,338 78,764,669 236,294,008 118,147,004 59,073,502 29,536,751 88,610,254 44,305,127 132,915,382 66,457,691 199,373,074 99,686,537 299,059,612 149,529,806 74,764,903 224,294,710 112,147,355 336,442,066 168,221,033 504,663,100 252,331,550 126,165,775 378,497,326 189,248,663 567,745,990 283,872,995 851,618,986 425,809,493 1,277,428,480 638,714,240 319,357,120 159,678,560 79,839,280 39,919,640 19,959,820 9,979,910

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